Localization of Fr\'echet frames and expansion of generalized functions
Functional Analysis
2019-07-03 v1
Abstract
Matrix type operators with the off-diagonal decay of polynomial or sub-exponential types are revisited with weaker assumptions concerning row or column estimates, still giving the continuity results for the frame type operators. Such results are extended from Banach to Fr\'{e}chet spaces. Moreover, the localization of Fr\'{e}chet frames is used for the frame expansions of tempered distributions and a class of Beurling ultradistributions.
Keywords
Cite
@article{arxiv.1907.01147,
title = {Localization of Fr\'echet frames and expansion of generalized functions},
author = {Stevan Pilipović and Diana T. Stoeva},
journal= {arXiv preprint arXiv:1907.01147},
year = {2019}
}